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Finding the Fourth Proportional to 224,559.86, 309,819.01 and 160,039.26

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Solution

The fourth proportional to 224,559.86, 309,819.01 and 160,039.26 is: 220,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,559.86 : 309,819.01 = 160,039.26 : x
  2. Step 2: Convert to fraction form
    224,559.86/309,819.01 = 160,039.26/x
  3. Step 3: Cross multiply
    224,559.86x = 309,819.01 × 160,039.26
  4. Step 4: Simplify right side
    224,559.86x = 49,583,205,094.33
  5. Step 5: Solve for x
    x = 49,583,205,094.33/224,559.86
  6. Step 6: Final answer
    x = 220,801.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.